- #1

artriant

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- TL;DR Summary
- How much Earth affects the gravity that we feel on the Lunar Surface?

Hello everyone, happy holidays!

Y/day i googled that question (see title), and i found no clear answer, and I was really suprised,

So I had to investigate my self, this is a super basic question,

Let me know if i got this right:

Earth R: 6,371 km

Moon R: 1,737.1 km

d1: 384,400 km (center to center)

d2: 382,663 km (E core to near side)

d3: 386,137 km (E core to far side)

---

Moons surface gravity averaging ~

Simmilar calculations for the

To put that in perspective a cargo box weighting 1000kg will have an average weigth 166Kg on the Lunar surface,

But at the center of NEAR side it will weight (~1.66% less) 163.24Kg, and (+1.638%)168.72Kg @ the center of opposite side,

Thats a whole 5.48 Kg difference for that container, or 548 grams difference for a man that originally weights 100Kg on Earth

(3.35% icrease in weigth) just because you changed location on the Moon, isn't that crazy considering we just took in account the change due to Earths gravity gradient?

Y/day i googled that question (see title), and i found no clear answer, and I was really suprised,

So I had to investigate my self, this is a super basic question,

Let me know if i got this right:

Earth R: 6,371 km

Moon R: 1,737.1 km

d1: 384,400 km (center to center)

d2: 382,663 km (E core to near side)

d3: 386,137 km (E core to far side)

*Assuming Earths gravity is 1g, M and E are perfect spheres, orbits are circular, distribution of mass is perfectly uniform, no other forces complicating our system like for example the pull of the sun*.---

**A man at the center of the near side of the moon**, is standing**60.06**times further away from the Earths CORE compared to a person standing at the surface of Earth. Applying inverse square law we can find that: Earths gravityis**3,488.4**times weaker up there.Moons surface gravity averaging ~

**0.166g**, the Earths pull is**-0.0002772g**at that point and has a completely oposite orientation (**1.66% in comparison**),Simmilar calculations for the

**far side of the moon**(at the point where Earths and Moons gravitational vectors align):*386,137/3671=60.60|sqr(60.60)=3,673.39|That is: +0.000272g or***1.638% in comparison to Moon Average surface gravity**To put that in perspective a cargo box weighting 1000kg will have an average weigth 166Kg on the Lunar surface,

But at the center of NEAR side it will weight (~1.66% less) 163.24Kg, and (+1.638%)168.72Kg @ the center of opposite side,

Thats a whole 5.48 Kg difference for that container, or 548 grams difference for a man that originally weights 100Kg on Earth

(3.35% icrease in weigth) just because you changed location on the Moon, isn't that crazy considering we just took in account the change due to Earths gravity gradient?